Differential EquationHard

Question

Solution of differential equation xdy - y dx = 0 represents :

Options

A.rectangular hyperbola
B.straight line passing through origin
C.parabola whose vertex is at origin
D.circle whose centre is at origin

Solution

x dy = y dx
⇒ ln y - ln x = c
y = kx     ∴ straight line passing through origin

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